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Finding the Fourth Proportional to 1,922.10, 2,883.06 and 997.32

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Solution

The fourth proportional to 1,922.10, 2,883.06 and 997.32 is: 1,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.10 : 2,883.06 = 997.32 : x
  2. Step 2: Convert to fraction form
    1,922.10/2,883.06 = 997.32/x
  3. Step 3: Cross multiply
    1,922.10x = 2,883.06 × 997.32
  4. Step 4: Simplify right side
    1,922.10x = 2,875,333.40
  5. Step 5: Solve for x
    x = 2,875,333.40/1,922.10
  6. Step 6: Final answer
    x = 1,495.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.